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An evaluation of some non‐parametric and parametric tests for multiple comparisons
Author(s) -
Keselman H. J.,
Rogan Joanne C.
Publication year - 1977
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1977.tb00731.x
Subject(s) - statistics , mathematics , parametric statistics , kruskal–wallis one way analysis of variance , sample size determination , tukey's range test , population , kruskal's algorithm , type i and type ii errors , analysis of variance , mann–whitney u test , medicine , combinatorics , spanning tree , environmental health
The Kruskal & Wallis and normal scores non‐parametric multiple comparison tests were compared to the parametric Tukey test. In addition to quantifying and manipulating the degree of heterogeneity due to combining heterogeneous variances with unequal sample sizes, the tests were compared for their sensitivity, as well as rates of Type I error, under varying conditions of mean variability when sampling from normal and exponential distributions. It was found that the Kruskal & Wallis test is always preferable to the normal scores test while the choice between the Kruskal & Wallis and Tukey tests depends upon sample size, population shape and mean variability.